Finding the Third Proportional to 367,047 and 493,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   367,047 : 493,978.50 = 493,978.50 : x
2. Step 2: Convert to fraction form
   367,047/493,978.50 = 493,978.50/x
3. Step 3: Cross multiply
   367,047x = 493,978.50 × 493,978.50
4. Step 4: Simplify right side
   367,047x = 244,014,758,462.25
5. Step 5: Solve for x
   x = 244,014,758,462.25/367,047
6. Step 6: Final answer
   x = 664,805.21